SOLUTION: A charity obtains its income from various sources -advertising 30000$, donations x, fees 9000$, investments 3000$. sponsorship 10000$. A pie is drawn to illustrate the data.Given

Question 194234: A charity obtains its income from various sources -advertising 30000$, donations x, fees 9000$, investments 3000$. sponsorship 10000$. A pie is drawn to illustrate the data.Given that the angle of the sector representing Donations was 204degrees, calculate (A) the total income
(b) the value of x, (C) the angle of each of the remaining sectors.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A charity obtains its income from various sources -advertising 30000$, donations x, fees 9000$, investments 3000$. sponsorship 10000$. A pie is drawn to illustrate the data.Given that the angle of the sector representing Donations was 204degrees, calculate
---------------------------------
If donations occupies 204 degrees, then advertising, fees, investments, and sponsorship occupy 156 degrees in a ratio of 9:3:10:3
9n + 3n + 10n +30n = 156
52n = 156
n = 3 degrees
Then 9n = 27 degrees (fees)
3n = 9 degrees (investments)
30n = 90 degrees (advertising)
10n = 30 degrees (sponsorship)
------------
Since x occupies 204 degrees, donations amounts to 204/3 = 68 degrees or 68000$
(A) the total income
(b) the value of x,
(C) the angle of each of the remaining sectors
------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
Roberto invested some money at 8%, and then invested $3000 more than twice this amount at (answered by Fombitz)

A charity with a yearly budget of 80d gets all of its money from either it's yearly ball (answered by josgarithmetic)

this problem contains donations in thousands of dollars from businesses and individuals A (answered by rfer)

A charity collected $2,040 in equal donations from their members to share the cost of a... (answered by bucky)

The income from an 8% investment is $300 more than the income from a 6% investment. How... (answered by dkppathak)

Maricopa's Success scholarship fund receives a gift of $ 170000. The money is invested in (answered by greenestamps)

Maricopa's Success scholarship fund receives a gift of $ 170000. The money is invested in (answered by VFBundy)

the number d of donations a charity receives varies directly with th number r of requests (answered by Cromlix)

Dear Sir/Madam, I am confronted with the following problem: "A certain state... (answered by prince_abubu)